## Discussion

(g) Summarize what you have learned from this simulation. In particular,

- Describe the shape, center, and variability (with appropriate numerical support) of this null distribution.
- This null distribution should center around zero. Verify and then explain why.
- Where does the difference in sample means (unrestricted group - deprived group) observed by these researchers fall in this null distribution (near the middle or in a tail)? Is such an outcome surprising when the null hypothesis is true? Enough for you to reject the null hypothesis? How are you deciding?
- Calculate a standardized statistic by taking the
*observed*statistic minus the*mean*specified by the null hypothesis, and then dividing by your estimate of the*standard error*of the statistic (the standard deviation of the null distribution). Show the details of your calculation and**interpret**your result. **Interpret**the estimated p-value in your own words: If we repeatedly ....

(Don't simply decide whether it's small, but explain what it measures: The proportion of*whats*that do*what*assuming*what*?)

(h) *Informal confidence interval:* Use the observed statistic and two times the standard deviation from your null distribution to approximate a 95% confidence interval for the parameter: statistic __+__ 2xSE. Show the details of your calculation and report your interval in context.